unit 3– quadrilaterals review for final exam. true/false a diagonal is a line segment in a polygon...
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Unit 3– QuadrilateralsReview for Final Exam
True/False
•A diagonal is a line segment in a polygon that connects any two vertices.
True/False
•If the sum of the lengths of two consecutive sides of a kite is 48 cm, then the perimeter of the kite is 96 cm.
True/False
•If the vertex angles of a kite measure 48° and 36°, then the nonvertex angles each measure 138°.
True/False
•The diagonals of a rectangle are perpendicular bisectors of each other.
True/False
•A trapezoid is a quadrilateral having exactly one pair of parallel sides.
True/False
•A polygon with ten sides is a decagon.
True/False
•A square is a rectangle with all the sides equal in length.
True/False
•A pentagon has five sides and six diagonals.
True/False
•Any two consecutive sides of a kite are congruent.
True/False
•If a polygon has two pairs of parallel sides then it is a parallelogram.
True/False
•The diagonals of a parallelogram are congruent.
True/False
•The measure of each angle of a regular dodecagon is 150°.
True/False
•If the sum of the measures of the interior angles of a polygon is less than 1000°, then the polygon has fewer than 7 sides.
True/False
•The sum of the measures of one set of exterior angles of a polygon is always less than the sum of the measures of the interior angles.
True/False
•Both pairs of base angles of an isosceles trapezoid are supplementary.
True/False
•The diagonals of a rhombus bisect the angles of the rhombus.
True/False
•If the diagonals of a quadrilateral are congruent, but only one is the perpendicular bisector of the other, then the quadrilateral is a kite.
True/False
•If the diagonals of a quadrilateral are congruent and perpendicular then it is a square.
True/False
•The consecutive angles of a rectangle are congruent and supplementary.
True/False
•The diagonals of a rectangle bisect the angles.
True/False
•A square is a rhombus with all angles congruent.
True/False
•Every rhombus is a square.
True/False
•It is not possible for a trapezoid to have three congruent sides.
True/False
•Every square is a rectangle.
True/False
•A diagonal divides a square into two isosceles right triangles.
True/False
•Opposite angles in a parallelogram are always congruent.
Always/Sometimes/Never
•An equilateral polygon is equiangular.
Always/Sometimes/Never
•The diagonals of a kite are perpendicular bisectors of each other.
Find the angle measures of x and y.
One exterior angle of a regular polygon measures 10°.
- What is the measure of each interior angle?
- How many sides does the polygon have?
Find the measures of a, b and c.
Find the measures of x and y.
In the diagram below, the line segment with a measure of 29 is the midsegment of the trapezoid. Find the measures of x, y and z.
Given: ABCD is a parallelogram and
Prove: AC and PQ bisect each other
QC AP
Given: Quadrilateral SOAP with SP OAP and SP OA
Prove: SOAP is a parallelogram
S O
P A